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Finding the Fourth Proportional to 2,966.48, 4,450.10 and 1,018.16

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Solution

The fourth proportional to 2,966.48, 4,450.10 and 1,018.16 is: 1,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.48 : 4,450.10 = 1,018.16 : x
  2. Step 2: Convert to fraction form
    2,966.48/4,450.10 = 1,018.16/x
  3. Step 3: Cross multiply
    2,966.48x = 4,450.10 × 1,018.16
  4. Step 4: Simplify right side
    2,966.48x = 4,530,894.11
  5. Step 5: Solve for x
    x = 4,530,894.11/2,966.48
  6. Step 6: Final answer
    x = 1,527.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.